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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 846 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.96765 ÷ 89 =
  2. 2.608424 ÷ 998 =
  3. 3.355121 ÷ 988 =
  4. 4.157110 ÷ 989 =
  5. 5.17445 ÷ 988 =
  6. 6.550026 ÷ 997 =
  7. 7.675700 ÷ 988 =
  8. 8.5248 ÷ 98 =
  9. 9.25274 ÷ 98 =
  10. 10.57186 ÷ 88 =
  11. 11.2326 ÷ 8 =
  12. 12.971067 ÷ 897 =
  13. 13.19504 ÷ 97 =
  14. 14.25733 ÷ 88 =
  15. 15.5968 ÷ 8 =
  16. 16.225088 ÷ 989 =
  17. 17.11060 ÷ 89 =
  18. 18.736936 ÷ 997 =
  19. 19.6102 ÷ 8 =
  20. 20.219009 ÷ 997 =
  21. 21.30891 ÷ 88 =
  22. 22.64101 ÷ 89 =
  23. 23.35718 ÷ 97 =
  24. 24.6998 ÷ 8 =
  25. 25.298502 ÷ 988 =
  26. 26.204481 ÷ 988 =
  27. 27.27900 ÷ 97 =
  28. 28.62171 ÷ 97 =
  29. 29.754236 ÷ 998 =
  30. 30.94792 ÷ 96 =
  31. 31.426355 ÷ 989 =
  32. 32.98272 ÷ 96 =
  33. 33.1507 ÷ 8 =
  34. 34.73629 ÷ 97 =
  35. 35.299502 ÷ 897 =
  36. 36.76562 ÷ 97 =
  37. 37.77122 ÷ 88 =
  38. 38.118352 ÷ 989 =
  39. 39.93445 ÷ 98 =
  40. 40.91328 ÷ 89 =

Answer key

  1. 1087 rem 22
  2. 609 rem 642
  3. 359 rem 429
  4. 158 rem 848
  5. 17 rem 649
  6. 551 rem 679
  7. 683 rem 896
  8. 53 rem 54
  9. 257 rem 88
  10. 649 rem 74
  11. 290 rem 6
  12. 1082 rem 513
  13. 201 rem 7
  14. 292 rem 37
  15. 746 rem 0
  16. 227 rem 585
  17. 124 rem 24
  18. 739 rem 153
  19. 762 rem 6
  20. 219 rem 666
  21. 351 rem 3
  22. 720 rem 21
  23. 368 rem 22
  24. 874 rem 6
  25. 302 rem 126
  26. 206 rem 953
  27. 287 rem 61
  28. 640 rem 91
  29. 755 rem 746
  30. 987 rem 40
  31. 431 rem 96
  32. 1023 rem 64
  33. 188 rem 3
  34. 759 rem 6
  35. 333 rem 801
  36. 789 rem 29
  37. 876 rem 34
  38. 119 rem 661
  39. 953 rem 51
  40. 1026 rem 14

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